Deformations and Extensions of BiHom-alternative algebras
Rings and Algebras
2022-06-16 v1 Representation Theory
Abstract
The aim of this paper is to deal with BiHom-alternative algebras which are a generalization of alternative and Hom-alternative algebras, their structure is defined with two commuting multiplicative linear maps. We study cohomology and one-parameter formal deformation theory of left BiHom-alternative algebras. Moreover, we study central and -extensions of BiHom-alternative algebras and their relationship with cohomology. Finally, we investigate generalized derivations and give some relevant results.
Keywords
Cite
@article{arxiv.2206.07452,
title = {Deformations and Extensions of BiHom-alternative algebras},
author = {Taoufik Chtioui and Sami Mabrouk and Abdenacer Makhlouf},
journal= {arXiv preprint arXiv:2206.07452},
year = {2022}
}